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Associate Prof Ben BinderUniversity of Adelaide
Research interestsFluid mechanics, mathematical biology and spatial statistics. Biographical sketchI was awarded my PhD in Applied Mathematics from the University of East Anglia, UK, 2005. The research involved numerical and analytical studies on nonlinear freesurface flows. Shortly after completing my PhD I accepted a Research Associate position at the University of Adelaide, researching the chaotic dynamical systems approach to fluid mixing and its application to designing mixing devices. I briefly left Adelaide in 2007, joining the University of Melbourne as a Research Fellow. There I developed both discrete and continuous mathematical models for the neural crest cell invasion in the embryonic gut. I returned to the University of Adelaide in 2009, having been appointed a continuing position as a Lecturer in Applied Mathematics. My current research includes (i) quantifying and modelling biological spatial patterns and (ii) predicting channel bed topography in freesurface flows. Publication listI have published 54 journal articles and 5 conference papers. Other scholarly achievements can be found in my CV. Journal articles54. Characterising shape patterns using features derived from bestfitting ellipsoids.
53. Diffusionlimited growth of microbial colonies.
52. Nutrientlimited growth with nonlinear cell diffusion as a mechanism for floral pattern formation in yeast biofilms.
51. Understanding interactions between populations: individual
based modelling and quantification using pair correlation functions.
50. On the critical freesurface flow over localised topography.
49. Quantifying the dominant growth mechanisms of dimorphic yeast using a latticebased model.
48. Steep waves in freesurface flow past narrow topography.
47. Differential clonal expansion in an invading cell population: Clonal advantage or dumb luck?
46. Identifying the necrotic zone boundary in tumour spheroids with paircorrelation functions. 45. A mechanistic study on tumour spheroids formation in thermosensitive hydrogels: Experiments and mathematical modelling. 44. Quantifying the effects of experimental design choices for in vitro scratch assays. 43. Cell density and cell size dynamics during in vitro tissue growth experiments: Implications for mathematical models of collective cell behaviour. 42. Predicting channel bed topography in hydraulic
falls. 41. Steady freesurface flow over spatially periodic topography. 40. Incomplete penetrance: The role of stochasticity in developmental
cell colonization. 39. Quantifying twodimensional filamentous and invasive growth spatial patterns in yeast colonies. 38. Spectral analysis of paircorrelation bandwidth: application to cell biology images. 37. Modeling development and disease in the enteric nervous system. 36. Interpreting scratch assays using pair density dynamics and approximate Bayesian computation. 35. Nonautonomous analysis of steady Kortewegde Vries waves under nonlocalised forcing. 34. Assessing the role of spatial correlations
during collective cell spreading. 33. On the derivation of approximations to cellular
automata models and the assumption of independence. 32. Approximating spatiallyexclusive invasion processess. 31. Distinguishing between mechanisms of cell aggregation using paircorrelation functions. 30. Nonuniqueness of steady freesurface flow at critical Froude number. 29. Cell lineage tracing in the developing enteric nervous system: superstars revealed by experiment and
simulation. 28. On the freesurface flow of very
steep forced solitary waves. 27. Quantifying spatial structure in experimental and simulation
images using paircorrelation functions. 26. Freesurface flow past arbitrary
topography and an inverse approach for wavefree solutions. 25. Experimental and modelling investigation of monolayer development with clustering. 24. Quantifying the roles of cell motility and cell proliferation in a circular barrier assay. 23. A hybrid model for studying spatial
aspects of infectious diseases. 22. Electrified freesurface flow of an inviscid liquid past
topography. 21. Generalized index for spatial data sets as a measure of complete spatial randomness. 20. Free surface flow past topography: a beyondallorders approach. 19. Spatial analysis of multispecies exclusion processes: application to neural crest cell migration in the embryonic gut. 18. A modified Polya urn process and an index for spatial distributions with volume exclusion. 17. Minimising wave drag for free surface flow past a twodimensional stern. 16. Hybrid freesurface flows in a twodimensional channel. 15. Quantifying evenly distributed states in exclusion and nonexclusion processes. 14. Ghost rods adopting the role of removed baffles in batch mixer designs. 13. Neural crest regionalisation for enteric nervous system
formation: Implications for Hirschsprung's disease and stem cell therapy. 12. Steady freesurface flow at the stern of a ship. 11. Exclusion processes on a growing domain. 10. A nonlinear dynamical system: flow past a sluice gate. 9. Tissue growth and the Polya distribution. 8. On satisfying the radiation condition in freesurface flows. 7. Modeling proliferative tissue growth: a general approach and an avian case study. 6. Influence of rapid changes in a channel bottom on freesurface flows. 5. A batch mixer design for the pigtail braid. 4.
The effect of disturbances on the free surface flow under a sluice gate. 3. Steady freesurface flow past an uneven channel bottom. 2. Free surface flows past surfboards and sluice gates. 1. Forced solitary waves and fronts past submerged obstacles. Conference papers5. Enteric nervous system formation: disproportionate stochastic clonal expansion of a few initiating vagal neural crest cells. 4. Modeling development and
disease in our "second" brain. 3. Social controls of migration and proliferation of neural crestderived cells in the gut. 2. The prevalence of ghost rods in batch mixer designs. 1. Open channel flow past a curved sluice gate. 
